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Finding the Third Proportional to 7,078 and 12,482

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Solution

The third proportional to 7,078 and 12,482 is: 22,011.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078 : 12,482 = 12,482 : x
  2. Step 2: Convert to fraction form
    7,078/12,482 = 12,482/x
  3. Step 3: Cross multiply
    7,078x = 12,482 × 12,482
  4. Step 4: Simplify right side
    7,078x = 155,800,324
  5. Step 5: Solve for x
    x = 155,800,324/7,078
  6. Step 6: Final answer
    x = 22,011.91

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.